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| 1 | // -*- mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- | ||
| 2 | // vi: set et ts=4 sw=4 sts=4: | ||
| 3 | // | ||
| 4 | // SPDX-FileCopyrightText: Copyright © DuMux Project contributors, see AUTHORS.md in root folder | ||
| 5 | // SPDX-License-Identifier: GPL-3.0-or-later | ||
| 6 | // | ||
| 7 | /*! | ||
| 8 | * \file | ||
| 9 | * \ingroup RichardsTests | ||
| 10 | * \brief A water infiltration problem with a low-permeability lens | ||
| 11 | * embedded into a high-permeability domain which uses the | ||
| 12 | * Richards box model. | ||
| 13 | */ | ||
| 14 | |||
| 15 | #ifndef DUMUX_RICHARDS_LENSPROBLEM_HH | ||
| 16 | #define DUMUX_RICHARDS_LENSPROBLEM_HH | ||
| 17 | |||
| 18 | #include <dumux/common/properties.hh> | ||
| 19 | #include <dumux/common/parameters.hh> | ||
| 20 | #include <dumux/common/boundarytypes.hh> | ||
| 21 | #include <dumux/common/numeqvector.hh> | ||
| 22 | |||
| 23 | #include <dumux/porousmediumflow/problem.hh> | ||
| 24 | |||
| 25 | namespace Dumux { | ||
| 26 | |||
| 27 | /*! | ||
| 28 | * \ingroup RichardsTests | ||
| 29 | * | ||
| 30 | * \brief A water infiltration problem with a low-permeability lens | ||
| 31 | * embedded into a high-permeability domain which uses the | ||
| 32 | * Richards model. | ||
| 33 | * | ||
| 34 | * The domain is box shaped. Left and right boundaries are Dirichlet | ||
| 35 | * boundaries with fixed water pressure (fixed Saturation \f$S_w = 0\f$), | ||
| 36 | * bottom boundary is closed (Neumann 0 boundary), the top boundary | ||
| 37 | * (Neumann 0 boundary) is also closed except for infiltration | ||
| 38 | * section, where water is infiltrating into an initially unsaturated | ||
| 39 | * porous medium. This problem is very similar to the LensProblem | ||
| 40 | * which uses the TwoPBoxModel, with the main difference being that | ||
| 41 | * the domain is initially fully saturated by gas instead of water and | ||
| 42 | * water instead of a %DNAPL infiltrates from the top. | ||
| 43 | * | ||
| 44 | * This problem uses the \ref RichardsModel | ||
| 45 | */ | ||
| 46 | template <class TypeTag> | ||
| 47 | 25 | class RichardsLensProblem : public PorousMediumFlowProblem<TypeTag> | |
| 48 | { | ||
| 49 | using ParentType = PorousMediumFlowProblem<TypeTag>; | ||
| 50 | using GridView = typename GetPropType<TypeTag, Properties::GridGeometry>::GridView; | ||
| 51 | using PrimaryVariables = GetPropType<TypeTag, Properties::PrimaryVariables>; | ||
| 52 | using BoundaryTypes = Dumux::BoundaryTypes<GetPropType<TypeTag, Properties::ModelTraits>::numEq()>; | ||
| 53 | using NumEqVector = Dumux::NumEqVector<PrimaryVariables>; | ||
| 54 | using Scalar = GetPropType<TypeTag, Properties::Scalar>; | ||
| 55 | using Indices = typename GetPropType<TypeTag, Properties::ModelTraits>::Indices; | ||
| 56 | using GridGeometry = GetPropType<TypeTag, Properties::GridGeometry>; | ||
| 57 | enum { | ||
| 58 | // copy some indices for convenience | ||
| 59 | pressureIdx = Indices::pressureIdx, | ||
| 60 | conti0EqIdx = Indices::conti0EqIdx, | ||
| 61 | |||
| 62 | // world dimension | ||
| 63 | dimWorld = GridView::dimensionworld | ||
| 64 | }; | ||
| 65 | using Element = typename GridView::template Codim<0>::Entity; | ||
| 66 | |||
| 67 | using GlobalPosition = typename Element::Geometry::GlobalCoordinate; | ||
| 68 | |||
| 69 | public: | ||
| 70 | 25 | RichardsLensProblem(std::shared_ptr<const GridGeometry> gridGeometry) | |
| 71 |
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75 | : ParentType(gridGeometry) |
| 72 | { | ||
| 73 |
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25 | name_ = getParam<std::string>("Problem.Name"); |
| 74 | 25 | } | |
| 75 | |||
| 76 | /*! | ||
| 77 | * \name Problem parameters | ||
| 78 | */ | ||
| 79 | // \{ | ||
| 80 | |||
| 81 | /*! | ||
| 82 | * \brief The problem name | ||
| 83 | * | ||
| 84 | * This is used as a prefix for files generated by the simulation. | ||
| 85 | */ | ||
| 86 | 25 | const std::string& name() const | |
| 87 |
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25 | { return name_; } |
| 88 | |||
| 89 | /*! | ||
| 90 | * \brief Returns the reference pressure [Pa] of the nonwetting | ||
| 91 | * fluid phase within a finite volume | ||
| 92 | * | ||
| 93 | * This problem assumes a constant reference pressure of 1 bar. | ||
| 94 | */ | ||
| 95 | Scalar nonwettingReferencePressure() const | ||
| 96 | { return 1.0e5; }; | ||
| 97 | |||
| 98 | // \} | ||
| 99 | |||
| 100 | /*! | ||
| 101 | * \name Boundary conditions | ||
| 102 | */ | ||
| 103 | // \{ | ||
| 104 | |||
| 105 | /*! | ||
| 106 | * \brief Specifies which kind of boundary condition should be | ||
| 107 | * used for which equation on a given boundary segment. | ||
| 108 | * | ||
| 109 | * \param globalPos The position for which the boundary type is set | ||
| 110 | */ | ||
| 111 |
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173688 | BoundaryTypes boundaryTypesAtPos(const GlobalPosition &globalPos) const |
| 112 | { | ||
| 113 | 173688 | BoundaryTypes bcTypes; | |
| 114 |
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242248 | if (onLeftBoundary_(globalPos) || onRightBoundary_(globalPos)) |
| 115 | bcTypes.setAllDirichlet(); | ||
| 116 | else | ||
| 117 | bcTypes.setAllNeumann(); | ||
| 118 | 173688 | return bcTypes; | |
| 119 | } | ||
| 120 | |||
| 121 | /*! | ||
| 122 | * \brief Evaluates the boundary conditions for a Dirichlet boundary segment. | ||
| 123 | * | ||
| 124 | * \param globalPos The position for which the Dirichlet value is set | ||
| 125 | * | ||
| 126 | * For this method, the \a values parameter stores primary variables. | ||
| 127 | */ | ||
| 128 | 34444 | PrimaryVariables dirichletAtPos(const GlobalPosition &globalPos) const | |
| 129 | { | ||
| 130 | 34444 | return initial_(globalPos); | |
| 131 | } | ||
| 132 | |||
| 133 | /*! | ||
| 134 | * \brief Evaluates the boundary conditions for a Neumann boundary segment. | ||
| 135 | * | ||
| 136 | * For this method, the \a values parameter stores the mass flux | ||
| 137 | * in normal direction of each phase. Negative values mean influx. | ||
| 138 | * | ||
| 139 | * \param globalPos The position for which the Neumann value is set | ||
| 140 | */ | ||
| 141 | 154968 | NumEqVector neumannAtPos(const GlobalPosition &globalPos) const | |
| 142 | { | ||
| 143 | 154968 | NumEqVector values(0.0); | |
| 144 |
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154968 | if (onInlet_(globalPos)) |
| 145 | values[conti0EqIdx] = -0.04; // kg/(m*s) | ||
| 146 | return values; | ||
| 147 | } | ||
| 148 | |||
| 149 | /*! | ||
| 150 | * \name Volume terms | ||
| 151 | */ | ||
| 152 | // \{ | ||
| 153 | |||
| 154 | /*! | ||
| 155 | * \brief Evaluates the initial values for a control volume. | ||
| 156 | * | ||
| 157 | * For this method, the \a values parameter stores primary | ||
| 158 | * variables. | ||
| 159 | * | ||
| 160 | * \param globalPos The position for which the boundary type is set | ||
| 161 | */ | ||
| 162 | 6424 | PrimaryVariables initialAtPos(const GlobalPosition &globalPos) const | |
| 163 | 6424 | { return initial_(globalPos); }; | |
| 164 | |||
| 165 | // \} | ||
| 166 | |||
| 167 | private: | ||
| 168 | 40868 | PrimaryVariables initial_(const GlobalPosition &globalPos) const | |
| 169 | { | ||
| 170 | 40868 | PrimaryVariables values(0.0); | |
| 171 | 40868 | const Scalar sw = 0.0; | |
| 172 | 81736 | const Scalar pc = this->spatialParams().fluidMatrixInteractionAtPos(globalPos).pc(sw); | |
| 173 | 40868 | values[pressureIdx] = nonwettingReferencePressure() - pc; | |
| 174 | 40868 | return values; | |
| 175 | } | ||
| 176 | |||
| 177 |
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173688 | bool onLeftBoundary_(const GlobalPosition &globalPos) const |
| 178 | { | ||
| 179 |
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173688 | return globalPos[0] < this->gridGeometry().bBoxMin()[0] + eps_; |
| 180 | } | ||
| 181 | |||
| 182 |
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139408 | bool onRightBoundary_(const GlobalPosition &globalPos) const |
| 183 | { | ||
| 184 |
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139408 | return globalPos[0] > this->gridGeometry().bBoxMax()[0] - eps_; |
| 185 | } | ||
| 186 | |||
| 187 | bool onLowerBoundary_(const GlobalPosition &globalPos) const | ||
| 188 | { | ||
| 189 | return globalPos[1] < this->gridGeometry().bBoxMin()[1] + eps_; | ||
| 190 | } | ||
| 191 | |||
| 192 | 154968 | bool onUpperBoundary_(const GlobalPosition &globalPos) const | |
| 193 | { | ||
| 194 | 154968 | return globalPos[1] > this->gridGeometry().bBoxMax()[1] - eps_; | |
| 195 | } | ||
| 196 | |||
| 197 | 154968 | bool onInlet_(const GlobalPosition &globalPos) const | |
| 198 | { | ||
| 199 |
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154968 | Scalar width = this->gridGeometry().bBoxMax()[0] - this->gridGeometry().bBoxMin()[0]; |
| 200 | 154968 | Scalar lambda = (this->gridGeometry().bBoxMax()[0] - globalPos[0])/width; | |
| 201 |
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154968 | return onUpperBoundary_(globalPos) && 0.5 < lambda + eps_ && lambda < 2.0/3.0 + eps_; |
| 202 | } | ||
| 203 | |||
| 204 | static constexpr Scalar eps_ = 1.5e-7; | ||
| 205 | |||
| 206 | GlobalPosition lensLowerLeft_; | ||
| 207 | GlobalPosition lensUpperRight_; | ||
| 208 | std::string name_; | ||
| 209 | }; | ||
| 210 | |||
| 211 | } // end namespace Dumux | ||
| 212 | |||
| 213 | #endif | ||
| 214 |